10655755702272 has 624 divisors, whose sum is σ = 33549811776000. Its totient is φ = 3246202552320.

The previous prime is 10655755702247. The next prime is 10655755702297. The reversal of 10655755702272 is 27220755755601.

10655755702272 is a `hidden beast` number, since 1 + 0 + 65 + 5 + 7 + 5 + 570 + 2 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10655755702247) and next prime (10655755702297).

It is a super-3 number, since 3×10655755702272³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9749089758 + ... + 9749090850.

It is an arithmetic number, because the mean of its divisors is an integer number (53765724000).

Almost surely, 2^{10655755702272} is an apocalyptic number.

10655755702272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10655755702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16774905888000).

10655755702272 is an abundant number, since it is smaller than the sum of its proper divisors (22894056073728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10655755702272 is a wasteful number, since it uses less digits than its factorization.

10655755702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 10290000, while the sum is 54.

The spelling of 10655755702272 in words is "ten trillion, six hundred fifty-five billion, seven hundred fifty-five million, seven hundred two thousand, two hundred seventy-two".